What is expand (2a+asqrt(3))^2 ?

The solution to expand (2a+asqrt(3))^2 is a^2*7+a^2*4sqrt(3)

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expand (2a+asqrt(3))^2

expand

(2 a + a 3)^{2}

a^{2} \cdot 7 + a^{2} \cdot 43

Solution steps

(2 a + a 3)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 a + a 3)^{2} = (2 a)^{2} + 2 \cdot 2 aa 3 + (a 3)^{2}

= (2 a)^{2} + 2 \cdot 2 aa 3 + (a 3)^{2}

Simplify

(2 a)^{2} + 2 \cdot 2 aa 3 + (a 3)^{2} : a^{2} (7 + 43)

= a^{2} (7 + 43)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

a^{2} (7 + 43) = a^{2} \cdot 7 + a^{2} \cdot 43

= a^{2} \cdot 7 + a^{2} \cdot 43

[2 (n + 1)]!

(2 + 5)^{4} + \frac{1}{( 2 + 5 ) ^{4}}

\frac{4}{( s ^{2} + 4 ) ^{2}}

\frac{1}{( 4 k + 1 ) ( 4 k + 5 )}

(- 3 + 5)^{8}

What is expand (2a+asqrt(3))^2 ?
The solution to expand (2a+asqrt(3))^2 is a^2*7+a^2*4sqrt(3)